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Finding the Third Proportional to 221,976 and 489,200

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Solution

The third proportional to 221,976 and 489,200 is: 1,078,119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,976 : 489,200 = 489,200 : x
  2. Step 2: Convert to fraction form
    221,976/489,200 = 489,200/x
  3. Step 3: Cross multiply
    221,976x = 489,200 × 489,200
  4. Step 4: Simplify right side
    221,976x = 239,316,640,000
  5. Step 5: Solve for x
    x = 239,316,640,000/221,976
  6. Step 6: Final answer
    x = 1,078,119.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.